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Finding the Fourth Proportional to 147, 220.52 and 74.85

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Solution

The fourth proportional to 147, 220.52 and 74.85 is: 112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147 : 220.52 = 74.85 : x
  2. Step 2: Convert to fraction form
    147/220.52 = 74.85/x
  3. Step 3: Cross multiply
    147x = 220.52 × 74.85
  4. Step 4: Simplify right side
    147x = 16,505.55
  5. Step 5: Solve for x
    x = 16,505.55/147
  6. Step 6: Final answer
    x = 112.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.